Pith Number

pith:KZTTYRM4

pith:2026:KZTTYRM4TA4K4SPKZOCI2XZ57L

not attested not anchored not stored refs pending

Torsion and curvature of ACYT and AHKT 8-manifold

Stefan Ivanov

arxiv:2607.16752 v1 · 2026-07-18 · math.DG

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KZTTYRM4TA4K4SPKZOCI2XZ57L}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-07-21T01:20:57.286311Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

56673c459c9838ae49eacb848d5f3dfae5a396e2d27295963e1fe6a3cfd061d9

Aliases

arxiv: 2607.16752 · arxiv_version: 2607.16752v1 · doi: 10.48550/arxiv.2607.16752 · pith_short_12: KZTTYRM4TA4K · pith_short_16: KZTTYRM4TA4K4SPK · pith_short_8: KZTTYRM4

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/KZTTYRM4TA4K4SPKZOCI2XZ57L \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 56673c459c9838ae49eacb848d5f3dfae5a396e2d27295963e1fe6a3cfd061d9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "023a17a1a316428dd0644c414df6c989dd747b22a9b902d13dcc35605fcab9e6",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2026-07-18T10:32:05Z",
    "title_canon_sha256": "0cde13f654da5187f08f4db8633a7dbce908bd52779dc3c2bf0144ec90a05762"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.16752",
    "kind": "arxiv",
    "version": 1
  }
}